Solve for r.
10^r = 10,000,000,000
r =
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To solve for ( r ) in the equation ( 10^r = 10,000,000,000 ), we can express 10,000,000,000 in terms of powers of 10.
1. First, notice that ( 10,000,000,000 ) can be written as ( 10^{10} ) because it has 10 zeros.
2. Now we have the equation ( 10^r = 10^{10} ).
3. Since the bases are the same, we can set the exponents equal to each other: ( r = 10 ).
So, the solution is ( r = 10 ).
Feel free to ask if you need further clarification!